De la producción de conjeturas a la demostración en un contexto de geometría sintética-analítica: el caso de la circunferencia
Bibliographic record
Abstract
En esta comunicacion breve se plantea como la continuidad entre la produccion de conjeturas y la produccion de la demostracion, conlleva al aprendizaje de la geometria analitica, particularmente la circunferencia. El marco teorico se organizo a la luz de la teoria de la mediacion semiotica y la teoria de la unidad cognitiva, que dan fundamentos a las actividades propuestas en la indagacion; al igual que la relacion entre el metodo sintetico y el metodo analitico donde se concibe a la geometria cartesiana como una relectura de la geometria euclidiana. La experimentacion se realizo con seis estudiantes de grado undecimo en el colegio Fe y Alegria Madre Alberta de la ciudad de Cali, Colombia, y estuvo caracterizada por la etnografia educativa como metodologia de investigacion, y por el ciclo didactico como instrumento de organizacion; fue importante observar, registrar y analizar las producciones orales y escritas de los estudiantes, cuando estos resolvieron las actividades integrando el AGD Cabri Geometre II Plus, destacandose que los argumentos generados por los estudiantes estan fuertemente arraigados a la validacion empirica que brinda el AGD.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.007 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.002 | 0.003 |
| Science and technology studies | 0.003 | 0.006 |
| Scholarly communication | 0.009 | 0.004 |
| Open science | 0.001 | 0.004 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.012 | 0.001 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".